The fourth order correlation function of a randomly advected passive scalar

Balkovsky E., Chertkov M., Kolokolov I., Lebedev V.

Advection of a passive scalar 0 in d — 2 by a large-scale velocity field rapidly changing in time is considered. The Gaussian feature of the passive scalar statistics in the convective interval was discovered in [1]. Here we examine deviations from the Gaussianity: we obtain analytically the simultaneous fourth-order correlation function of 0. Explicit expressions for fourth-order objects, like {(0i — 0Ç)4) derived.